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Finding the Fourth Proportional to 410.99, 615.53 and 266.27

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Solution

The fourth proportional to 410.99, 615.53 and 266.27 is: 398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 615.53 = 266.27 : x
  2. Step 2: Convert to fraction form
    410.99/615.53 = 266.27/x
  3. Step 3: Cross multiply
    410.99x = 615.53 × 266.27
  4. Step 4: Simplify right side
    410.99x = 163,894.76
  5. Step 5: Solve for x
    x = 163,894.76/410.99
  6. Step 6: Final answer
    x = 398.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.